From the reviews:

“Fractional calculus--the theory of differential and integral operators of noninteger order--is an area of mathematics that has been neglected for a very long period of time. … Ortigueira provides a look at this theory from the point of view of someone working in signal processing. … it may be a book suitable for experts in signal processing who want to learn how they can use fractional calculus for the modeling of their circuits and systems … .” (Kai Diethelm, ACM Computing Reviews, October, 2011)